Question

The inversion of Cane sugar proceeds with constant half-life of 500 minutes at pH = 5 for any concentration of sugar. However if pH = 6, the half-life changes to 50minutes. For this reaction rate equation is rate =$k\left[sugar{]}^m\right[H^{+}]n$. The value of “n” is.___

Answer 1

Half life 500 for all concentrations of sugar.
Half life is independent of the conc. of the sugar.
So reaction is Ist order W.R.T. sugar For $H^{+}$ conc.
$\frac{t_1}{t_2}={\left(\frac{a_2}{a_1}\right)}^{n-1}$
$\frac{500}{50}={\left(\frac{{10}^{-6}}{{10}^{-5}}\right)}^{n-1}$
$\therefore n=0$